Question

Find the area of the sector of a circle with diameter 34 feet and an angle of π/5 radians. (Round your answer to four decimal places.)

Answer 1

The area of a circle is: A = $\pi$ × r², where r = radius of the circle. And to find the sector of a circle's area you do SECTOR÷2$\pi$ × A. This should give you enough information on how to solve this problem.

Answer 2

The area of the sector of a circle with diameter 34 feet is  90.746 square feet

Area of  a sector

The formula for calculating the area of a sector is expressed as:

A = r²β/2

Given the following

r = 34feet

β = π/5 radians.

Substitute

A = (17)²(π/5)/2

A = 1156π/10
A = 90.746 square feet

Hence the area of the sector of a circle with diameter 34 feet is  90.746 square feet

Learn more on area of sector here: https://brainly.com/question/22972014

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